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Finding the Fourth Proportional to 519.61, 716.81 and 309.66

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Solution

The fourth proportional to 519.61, 716.81 and 309.66 is: 427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.61 : 716.81 = 309.66 : x
  2. Step 2: Convert to fraction form
    519.61/716.81 = 309.66/x
  3. Step 3: Cross multiply
    519.61x = 716.81 × 309.66
  4. Step 4: Simplify right side
    519.61x = 221,965.84
  5. Step 5: Solve for x
    x = 221,965.84/519.61
  6. Step 6: Final answer
    x = 427.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.